document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64490>Question 64490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45114 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.<BR>\n" );
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document.write( "Steve DATA:<BR>\n" );
document.write( "distance=200 miles ; rate= x mph ; time = d/r=200/x hrs<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "New Steve DATA:<BR>\n" );
document.write( "distane = 200 miles ; rate = x+10 mph ; time=d/r = 200/(x+10)<BR>\n" );
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document.write( "EQuATIOn:<BR>\n" );
document.write( "old time = new time + 1 hr.<BR>\n" );
document.write( "200/x = 200/(x+10) + 1<BR>\n" );
document.write( "200(x+10) = 200x +x(x+10)<BR>\n" );
document.write( "200x+2000=200x+x^2+20x<BR>\n" );
document.write( "x^2+20x-2000=0<BR>\n" );
document.write( "x=[-20+sqrt(400-4*-2000)]/2<BR>\n" );
document.write( "x=71.65/2<BR>\n" );
document.write( "x=35.83 mph (old speed)<BR>\n" );
document.write( "x+10; 45.83 mph (new speed)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );